Prime Factors of 629

Steps to find Prime Factors of 629 by Division Method

To find the primefactors of 629 using the division method, follow these steps:

• Step 1. Start dividing 629 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 629, which is 17. Divide 629 by 17 to obtain the quotient (37).
  629 ÷ 17 = 37
• Step 3. Repeat step 1 with the obtained quotient (37).
  37 ÷ 37 = 1

So, the prime factorization of 629 is, 629 = 17 x 37.

Steps to find Prime Factors of 629 by Factor Tree Method

We can follow the same procedure using the factor tree of 629 as shown below:

So, the prime factorization of 629 is, 629 = 17 x 37.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 629 are 17 x 37.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 629 but not a prime factor of 629.

Frequently Asked Questions

• Which is the smallest prime factor of 629?

  Smallest prime factor of 629 is 17.

• Is 629 a perfect square?

  No 629 is not a perfect square.

• What is the prime factorization of 629?

  Prime factorization of 629 is 17 x 37.

• What are the factors of 629?

  Factors of 629 are 1 , 17 , 37 , 629.

• What is prime factorization of 629 in exponential form?

  Prime factorization of 629 in exponential form is 17 x 37.

• Is 629 a prime number or a composite number?

  629 is a composite number.

• Is 629 a prime number?

  false, 629 is not a prime number.

• How to find prime factorization of 629 easily?

  To find prime factorization of 629 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 629?

  The largest prime factor of 629 is 37.